Provide an Appropriate Response $6 , - 15 , \frac { 75 } { 2 } , - \frac { 375 } { 4 } , \ldots$

Multiple Choice

Provide an appropriate response.
-Determine the general term of the sequence $6 , - 15 , \frac { 75 } { 2 } , - \frac { 375 } { 4 } , \ldots$

A) $a _ { n } = 6 \left( - \frac { 5 } { 2 } \right) ^ { n - 1 }$
B) $a _ { n } = \frac { 5 } { 2 } ( 6 ) ^ { n - 1 }$
C) $a _ { n } = - 6 \left( \frac { 5 } { 2 } \right) ^ { n - 1 }$
D) $a _ { n } = 6 \left( - \frac { 5 } { 2 } \right) ^ { n }$